Discussion
Each of the terms below stands in a fixed relation to its neighbours. Establish what governs the terms and give the one that comes next.
9, 17, 25, 33, ?
Answer: D
Correct answer: 41
Every gap is the same: the differences run 8, 8, 8, so the common difference is 8. Applying it once more to the final term, 33 + 8 gives 41. As a check, subtracting 8 from the answer returns 33, the term before it, and repeating that recovers the whole series. An answer that is close to the correct one but not exact usually means the rule was right and the arithmetic was not.
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